Phase noise in LC oscillators: A phasor-based analysis of a general result and of loaded Q

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 57, Issue 6, 2010, Pages 1187-1203

  Murphy, David ^a   Rael, Jacob J ^b   Abidi, Asad A ^a  

^a Engineering IV   (United States)

^b BROADCOM CORPORATION   (United States)

Author keywords

Impulse sensitivity function; Noise factor; Oscillators; Phase noise; Voltage controlled oscillator

Indexed keywords

AMPLITUDE FLUCTUATIONS; FULLY DIFFERENTIAL; IMPULSE SENSITIVITY FUNCTIONS; INDUCTANCE-CAPACITANCE OSCILLATORS; LC MODEL; LC-OSCILLATORS; LOADED Q; NOISE FACTOR; PHASE FLUCTUATION;

DIFFERENTIAL AMPLIFIERS; PHASE NOISE;

VARIABLE FREQUENCY OSCILLATORS;

EID: 77953479850     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2009.2030110     Document Type: Article

References (31)

1. D. B. Leeson, "A simple model of feedback oscillator noise spectrum," Proc. IEEE, vol.54, no.2, pp. 329-330, Feb. 1966.
2. F. X. Kaertner, "Determination of the correlation spectrum of oscillators with low noise," IEEE Trans. Microw. Theory Tech., vol.37, no.1, pp. 90-101, Jan. 1989.
3. A. Demir, A. Mehrotra, and J. Roychowdhury, "Phase noise in oscillators: A unifying theory and numerical methods for characterization," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.47, no.5, pp. 655-674, May 2000.
4. A. Demir, "Phase noise and timing jitter in oscillators with colored-noise sources," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.49, no.12, pp. 1782-1791, Dec. 2002.
5. A. Hajimiri and T. H. Lee, "A general theory of phase noise in electrical oscillators," IEEE J. Solid-State Circuits, vol.33, no.2, pp. 179-194, Feb. 1998.
6. A. Hajimiri and T. H. Lee, "Corrections to "a general theory of phase noise in electrical oscillators"," IEEE J. Solid-State Circuits, vol.33, no.6, pp. 928-928, Jun. 1998.
7. C. Samori, A. L. Lacaita, F. Villa, and F. Zappa, "Spectrum folding and phase noise in LC tuned oscillators," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol.45, no.7, pp. 781-790, Jul. 1998.
8. Q. Huang, "Phase noise to carrier ratio in LC oscillators," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.47, no.7, pp. 965-980, Jul. 2000.
9. J. J. Rael and A. A. Abidi, "Physical processes of phase noise in differential LC oscillators," in Proc. IEEE Custom Integr. Circuits Conf. (CICC), 2000, pp. 569-572.
10. P. Andreani, X. Wang, L. Vandi, and A. Fard, "A study of phase noise in Colpitts and LC-tank CMOS oscillators," IEEE J. Solid-State Circuits, vol.40, no.5, pp. 1107-1118, May 2005.
11. 2 phase noise performance of CMOS differential-pair LC-tank oscillators," IEEE J. Solid-State Circuits, vol. 41, no. 12, pp. 2703-2712, Dec. 2006.
12. 2 phase noise in bipolar Colpitts oscillators (with a digression on bipolar differential-pair LC oscillators)," IEEE J. Solid-State Circuits, vol. 42, no. 2, pp. 374-384, Feb. 2007.
13. P. Andreani and A. Fard, "A 2.3 GHz LC-tank CMOS VCO with optimal phase noise performance," in Proc. Int. Solid-State Circuits Conf. (ISSCC), Feb. 2006, pp. 691-700.
14. J. Bank, "A harmonic-oscillator design methodology based on describing functions," Ph.D. dissertation, Dept. Signals Syst., Sch. Elect. Eng., Chalmers Univ. Techn., Chalmers, Sweden, 2006.
15. A. Mazzanti and P. Andreani, "Class-C harmonic CMOS VCOs, with a general result on phase noise," IEEE J. Solid-State Circuits, vol.43, no.12, pp. 2716-2729, Dec. 2008.
16. K. A. Kouznetsov and R. G. Meyer, "Phase noise in LC oscillators," IEEE J. Solid-State Circuits, vol.35, no.8, pp. 1244-1248, Aug. 2000.
17. E. Hegazi, J. J. Rael, and A. A. Abidi, The Designer's Guide to HighPurity Oscillators. New York: Springer, 2004.
18. J. Phillips and K. Kundert, "Noise in mixers, oscillators, samplers, and logic an introduction to cyclostationary noise," in Proc. IEEE Custom Integr. Circuits Conf. (CICC), 2000, pp. 431-438.
19. J. Rael, "Phase noise in LC oscillators," Ph.D. dissertation, Elect. Eng. Dept., Univ. California, Los Angeles, 2007.
20. E. Hegazi and A. A. Abidi, "Varactor characteristics, oscillator tuning curves, and AM-FM conversion," IEEE J. Solid-State Circuits, vol.38, no.6, pp. 1033-1039, Jun. 2003.
21. W. P. Robins, Phase Noise in Signal Sources: Theory and Applications. London, U.K.: Institution of Electrical Engineers, 1984.
22. H. Darabi and A. A. Abidi, "Noise in RF-CMOS mixers: A simple physical model," IEEE J. Solid-State Circuits, vol.35, no.1, pp. 15-25, Jan. 2000.
23. E. Hegazi, H. Sjoland, and A. A. Abidi, "A filtering technique to lower LC oscillator phase noise," IEEE J. Solid-State Circuits, vol.36, no.12, pp. 1921-1930, Dec. 2001. (Pubitemid 34069258)
24. H. Wang, "A solution for minimizing phase noise in low-power resonator-based oscillators," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), 2000, vol.3, pp. 53-56.
25. A. Mazzanti and P. Andreani, "A 1.4 mW 4.90-to-5.65 GHz class-C CMOS VCO with an average FoM of 194.5 dBc/Hz," in Proc. Int. Solid-State Circuits Conf. (ISSCC), Feb. 2008, pp. 474-629.
26. S. Shekhar, J. Walling, S. Aniruddhan, and D. Allstot, "CMOS VCO and LNA using tuned-input tuned-output circuits," IEEE J. Solid-State Circuits, vol.43, no.5, pp. 1177-1186, May 2008.
27. B. Soltanian and P. Kinget, "Tail current-shaping to improve phase noise in LC voltage-controlled oscillators," IEEE J. Solid-State Circuits, vol.41, no.8, pp. 1792-1802, Aug. 2006.
28. T. H. Lee, The Design of CMOS Radio-Frequency Integrated Circuits, 2nd ed. Cambridge, U.K.: Cambridge University Press, 2003.
29. A. Rofougaran, G. Chang, J. Rael, J.-C. Chang, M. Rofougaran, P. Chang, M. Djafari, M.-K. Ku, E. Roth, A. Abidi, and H. Samueli, "A single-chip 900-MHz spread-spectrum wireless transceiver in 1-μ m CMOS. I. Architecture and transmitter design," IEEE J. Solid-State Circuits, vol.33, no.4, pp. 515-530, 1998.
30. D. Murphy, M. P. Kennedy, J. Buckley, and M. Qu, "The optimum power conversion efficiency and associated gain of an LC CMOS oscillator," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), May 2006, pp. 2633-2636.
31. P. Andreani and X. Wang, "On the phase-noise and phase-error performances of multiphase LC CMOS VCOs," IEEE J. Solid-State Circuits, vol.39, no.11, pp. 1883-1893, Nov. 2004.